Research On Solving Problems In Junior High School Mathematics Competition With Constructive Method

Constructive method is a kind of important mathematical method. Along With the overall implementation of China's quality education, we must systematically do research on how to solve problems with constructive method.Firstly, the thesis analyzes the research status at home and abroad, the relationship of George Polya's problems solving theory and constructive method, the principle and strategy when we use constructive method to solve a problem. They are the theoretical basis of solving problem with constructive method.Secondly, the thesis emphatically discusses how to solve problems of Junior high school math contest. To the extent of structuring equation model, polygons and circles, similar triangles mode and equals situation of discrete combination acme model, I detailedly expound how to create an appropriate mathematics model according to the features of the problem.There are two teaching cases in the fifth chapter of the thesis, aims to inspire the students to study on the solving methods independently and learn to structure successfully. Finally, there are some teaching suggestions for problem solving with constructive method.